31101300310113 has 72 divisors (see below), whose sum is σ = 50196614377728. Its totient is φ = 18537411816000.

The previous prime is 31101300310079. The next prime is 31101300310117.

31101300310113 is a `hidden beast` number, since 3 + 110 + 130 + 0 + 310 + 113 = 666.

31101300310113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31101300310113 - 2²⁰ = 31101299261537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31101300310117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478987056 + ... + 479051982.

Almost surely, 2^{31101300310113} is an apocalyptic number.

31101300310113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31101300310113 is a deficient number, since it is larger than the sum of its proper divisors (19095314067615).

31101300310113 is a wasteful number, since it uses less digits than its factorization.

31101300310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72227 (or 72213 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 31101300 and 310113, that added together give a palindrome (31411413).

The spelling of 31101300310113 in words is "thirty-one trillion, one hundred one billion, three hundred million, three hundred ten thousand, one hundred thirteen".